Question: Solve the following equations, in each case if initial conditions are given, indicate the general solution and the particular solution.b.3y'''+10y''+15y'+4y=12x3+4x+e2xc.y''-9y=cos2xd.y''-2y'+y=xexe.y'''-2y''-y'+2y=2t2+4t-9-sin(2t)f.y(4)-2y''+y=7x+2e-2x, con y(0)=0,y'(0)=0,y''(0)=2,y'''(0)=-3.

Solve the following equations, in each case if initial conditions are given, indicate the general solution and the particular solution.b.3y'''+10y''+15y'+4y=12x3+4x+e2xc.y''-9y=cos2xd.y''-2y'+y=xexe.y'''-2y''-y'+2y=2t2+4t-9-sin(2t)f.y(4)-2y''+y=7x+2e-2x, con y(0)=0,y'(0)=0,y''(0)=2,y'''(0)=-3.

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